Graph transformations - circle

Hello!

I am unsure about how to determine if the origin is located inside, outside or on the circle or ellipse after a graph transformation. For example, given the equation of the circle to be (x+3)^2 + (y-4)^2 = 5 , how do I know if the origin is within or outside or a point on the graph itself? How about in the case of an ellipse?